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Finding the Fourth Proportional to 210,310.56, 315,388.40 and 165,419.52

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Solution

The fourth proportional to 210,310.56, 315,388.40 and 165,419.52 is: 248,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,310.56 : 315,388.40 = 165,419.52 : x
  2. Step 2: Convert to fraction form
    210,310.56/315,388.40 = 165,419.52/x
  3. Step 3: Cross multiply
    210,310.56x = 315,388.40 × 165,419.52
  4. Step 4: Simplify right side
    210,310.56x = 52,171,397,741.57
  5. Step 5: Solve for x
    x = 52,171,397,741.57/210,310.56
  6. Step 6: Final answer
    x = 248,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.